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Finding the Fourth Proportional to 55.82, 76.97 and 46.71

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Solution

The fourth proportional to 55.82, 76.97 and 46.71 is: 64.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.82 : 76.97 = 46.71 : x
  2. Step 2: Convert to fraction form
    55.82/76.97 = 46.71/x
  3. Step 3: Cross multiply
    55.82x = 76.97 × 46.71
  4. Step 4: Simplify right side
    55.82x = 3,595.39
  5. Step 5: Solve for x
    x = 3,595.39/55.82
  6. Step 6: Final answer
    x = 64.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.